2 papers
math.AG2019
Regulator Maps for Higher Chow Groups via Current Transforms
Pedro F. dos Santos, Robert M. Hardt, Paulo Lima-Filho
We show how to use equidimensional algebraic correspondences between complex algebraic varieties to construct pull-backs and transforms of certain classes of geometric currents. Us…
math.AG2008
Integral Deligne Cohomology for Real Varieties
Pedro F. dos Santos, Paulo Lima-Filho
We develop an integral version of Deligne cohomology for smooth proper real varieties. For this purpose the role played by singular cohomology in the complex case has to be replace…